Matematika

Pertanyaan

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2 Jawaban

  • a = BC = 9
    b = AC = 7
    c = AB = 8

    Teorema cosinus
    cosA = (AB^2 + AC^2 - BC^2)/2AB×AC
    cosA = (8^2 + 7^2 - 9^2) / 2.8.7
    cosA = (64 + 49 - 81) / 2.8.7
    cosA = 32 / 2.8.7
    cosA = 2/7

    sinA = (akar(7^2 - 2^2))/7 --> teorema phytagoras
    sinA = (akar(49-4))/7
    sinA = (akar45)/7
    sinA = 3/7 akar5 (E)

    smg membantu
    Gambar lampiran jawaban ShySkySpy
  • a^2 = b^2 + c^2 -2bc cos A
    9^2 = 7^2 + 8^2 - 2.7.8 cos A
    81 = 49 + 64 -112 cos A
    112 cos A = 113 - 81
    112 cos A = 32
    cos A = 32/112
    cos A = 2/7
    sin^2 A = 1 - cos^2A
    sin^2A = 1 - (2/7)^2
    sin^2A = 1 - 4/49
    sin^2A = 45/49
    sin A = √(45/49)
    sin A = (3/7)√5